Extended scaling scheme for critically divergent quantities in ferromagnets and spin glasses
Extended scaling scheme for critically divergent quantities in ferromagnets and spin glasses
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DOI：
10.1103/physrevlett.97.117202
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发表时间：
2006-09-15
影响因子：
8.6
通讯作者：
Takayama, H.
中科院分区：
文献类型：
--
作者：
Campbell, I. A.;Hukushima, K.;Takayama, H.
从铁磁体和自旋玻璃中高温级数展开式的考虑出发，我们提出了一种扩展的标度方案，它包含一组标度公式，它在比传统标度方案的相应标度公式更宽的T范围内，将热力学可观测量的温度(T)和系统大小(L)的依赖关系表示为主阶。正则二维铁磁体和三维双峰伊辛自旋玻璃上的扩展标度分析表明，对于不同的观测数据，标度分析得到的临界参数的估计值是一致的。
From a consideration of high temperature series expansions in ferromagnets and in spin glasses, we propose an extended scaling scheme involving a set of scaling formulas which expresses to leading order the temperature (T) and the system size (L) dependences of thermodynamic observables over a much wider range of T than the corresponding one in the conventional scaling scheme. The extended scaling, illustrated by data on the canonical 2d ferromagnet and on the 3d bimodal Ising spin glass, leads to consistency in the estimates of critical parameters obtained from scaling analyses for different observables.